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All issues Volume 9 (February 2003) ESAIM: COCV, 9 (2003) 207-216 References
Free Access
Issue
ESAIM: COCV
Volume 9, February 2003
Page(s) 207 - 216
DOI https://doi.org/10.1051/cocv:2003010
Published online 15 September 2003
  1. Z. Artstein, Stability in the presence of singular perturbations. Nonlinear Anal. TMA 34 (1998) 817-827. [CrossRef] [Google Scholar]
  2. Z. Artstein and V. Gaitsgory, Tracking fast trajectories along a slow dynamics: A singular perturbations approach. SIAM J. Control Optim. 35 (1997) 1487-1507. [MathSciNet] [Google Scholar]
  3. I.U. Bronstein and A.Ya. Kopanskii, Smooth Invariant Manifolds and Normal Forms. World Scientific (1994). [Google Scholar]
  4. F. Colonius and W. Kliemann, The Dynamics of Control. Birkhäuser (2000). [Google Scholar]
  5. F. Colonius and W. Kliemann, On dynamic bifurcations in control systems, in Proc. IFAC Symposium on Nonlinear Control Systems (NOLCOS '01), 4-6 July 2001. St. Petersburg, Russia (2001) 140-143. [Google Scholar]
  6. J. Fischer, R. Guder and E. Kreuzer, Analyzing Perturbed Nonlinear Dynamical Systems, in Proc. 9th German-Japanese Seminar ``Nonlinear Problems in Dynamical Systems''. Straelen, Germany (to appear). [Google Scholar]
  7. G. Grammel, Averaging of singularly perturbed systems. Nonlinear Anal. TMA 28 (1997) 1855-1865. [Google Scholar]
  8. G. Grammel and P. Shi, On the asymptotics of the Lyapunov spectrum under singular perturbations. IEEE Trans. Automat. Control 45 (2000) 565-568. [CrossRef] [MathSciNet] [Google Scholar]
  9. S.M. Grünvogel, Lyapunov Spectrum and Control Sets, Dissertation Universität Augsburg. Augsburger Mathematische Schriften No. 34, Wißner Verlag, Augsburg (2000). [Google Scholar]
  10. S.M. Grünvogel, Lyapunov exponents and control sets near singular points. J. Differential Equations (to appear). [Google Scholar]
  11. H.K. Khalil, Nonlinear Systems. Prentice Hall (1996). [Google Scholar]
  12. P.V. Kokotovic, H.K. Khalil and J. O'Reilly, Singular Perturbation Methods in Control: Analysis and Design. Academic Press (1986). [Google Scholar]
  13. M.S. Soliman and J.M.T. Thompson, Stochastic penetration of smooth and fractal basin boundaries under noise excitation. Dynam. Stability Systems 5 (1990) 281-298. [MathSciNet] [Google Scholar]
  14. D. Szolnoki, Algorithms for Reachability Problems, Dissertation. Institut für Mathematik, Universität Augsburg, Augsburg (2001). [Google Scholar]
  15. D. Szolnoki, Set oriented methods for computing reachable sets and control sets. Discrete Contin. Dynam. Systems Ser. B (submitted). [Google Scholar]
  16. A. Vigodner, Limits of singularly perturbed control problems with statistical dynamics of fast motions. SIAM J. Control Optim. 35 (1997) 1-28. [CrossRef] [MathSciNet] [Google Scholar]

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